An artisan carves a wooden cube measuring 3x3x3 units and paints the entire outside surface blue. She then cuts it into 27 individual 1x1x1 smaller cubes. How many of the small cubes have paint on exactly two of their faces?
12
Cubes with paint on exactly two faces are found on the edges of the big cube, excluding the four corner pieces. Since a cube has 12 edges and each edge has 1 middle piece with 2 painted sides, there are 12 such cubes.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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